Quantum Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 1 - 4 of 251

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Question 1

Appeared in Year: 2013

Question MCQ▾

Consider the normalized state of a particle in a one – dimensional harmonic oscillator:

Where and denoted the ground and first excited states respectively, and b1 and b2 are real constants. The expectation value of the displacement in the state will be a minimum when – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 2

Appeared in Year: 2013

Question MCQ▾

The un – normalized wave function of a particle in a spherically symmetric potential is given by,

Where, is a function of the radial variable r. The eigenvalue of the operator (namely the square of the orbital angular momentum) is – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 3

Appeared in Year: 2013

Question MCQ▾

A particle moves in a potential . Which component (s) of the angular momentum is/are constant (s) of motion? (December)

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Edit

Question 4

Appeared in Year: 2013

Question MCQ▾

In a basis in which the z – component of the spin is diagonal, an electron is in a spin state,

The probability that a measurement of will yield the value and are, respectively,

Choices

Choice (4)Response

a.

b.

c.

d.

Edit